If anyone knows the answer of the folloing question, please let me know.

Assume, I have a unsymmetric tri-diagonal matrix of order n.
The 3n-2 nonzero entries are sometimes all real or somtimes all complex numbers.

What is the currently know fastest method to calculate all the
eigenvalues of this matrix, for a given requirement of m-bits accuracy,

If it were real symmetric or (complex) hermitian tri-diagonal matrix,
using let's say, the Sturm bisection method, the computational order
for solving all the eigenvalues is, about O(n^2 log(m)) I think.

As an owner of the dynamical solar system simulator program "Dance of the
Planets" for PC, I am interested in current and past osculating elements of
space probes like Pioneer, Voyager, Galileo and the like. It would make
tremendous fun to simulate these objects through their encounters with
the planets.

Does anyone know of electronic mails in astronomy? Or amateur astronomy?

The first MATLAB Conference will be held October 18-20, 1993, at the
Hyatt Regency in Cambridge, MA. The conference will provide a chance
for users of MATLAB, SIMULINK, and the MATLAB toolboxes to meet each
other and members of The MathWorks staff.

The conference will include:
* Invited talks by experts in fields of interest to MATLAB users.
* Contributed papers from the MATLAB and SIMULINK user community.
* Technical presentations by the developers of MATLAB and SIMULINK.
* Seminars by toolbox authors.
* A MATLAB Lab.
* Social activities.

Call For Papers
The MathWorks welcomes abstracts of papers for possible presentation
at conference. Abstracts should be approximately 300 words in length.
The deadline for submitting abstracts is March 31, 1993. Abstracts
will be reviewed and authors notified of their acceptance by May 15.
Authors who have submitted an abstract by the deadline date and are
selected to present papers will have their registration fee waived.
Please submit abstracts to:

For More Information
The Winter 1993 issue of the MathWorks Newsletter contains more
information about the conference.

If you would like to be on the mailing list to receive additional
information on the conference, please send your name, postal mailing
address and phone number to: conference@mathworks.com. You can also
put your name on the mailing list by phoning (617) 439-9962 or by
sending a FAX to (508) 653-2997.

Parallel computing has been quite successful solving large problems
having very regular structure, because the structure naturally leads
to a balanced allocation of data and computations across the
processors, and to efficient communications between processors.
Examples of such problems can be found in matrix computation, in
signal/image processing, and in natural sciences. However, in many
important mathematical, scientific and industrial problems data
dependencies are highly irregular and/or evolving at run time.
Outstanding examples include discrete event simulations, branch and
bound techniques, unstructured sparse graph and matrix problems,
adaptive grid methods, as well as many others. It is desirable to
develop parallel algorithms, compiler techniques, and hardware for
efficiently solving large, irregular problems. The purpose of the
workshop is to bring together researchers from a wide variety of
fields in order to explore the existing algorithms, heuristics, and
systems, to suggest new methods, and to identify some common
strategies.

WORKSHOP FORMAT

The three day workshop (Wednesday, June 2 - Friday, June 4) will be
held at DIMACS at Rutgers University, Piscataway, New Jersey. DIMACS
is the National Science Foundation science and technology center for
discrete mathematics and computer science. The workshop will include
invited and contributed talks, and possibly a poster session.
Contributions are solicited in appropriate applications (e.g.,
discrete event simulations, sparse matrix computations), systems
(e.g., compilers, hardware), and theory. For those that wish to
present a talk, send a paper or abstract to the organizers by February
22, 1993.

By the end of March 1993, authors will be notified of acceptance, and
the program will be distributed. The organizers plan to arrange
informal gatherings on each day of the Workshop to promote
discussions. Short abstracts will be published in the workshop proceedings.
This will not preclude publication of the full paper elsewhere.

The DIMACS Conference Center can accommodate about 100 participants.
Subject to this capacity constraint, the Workshop is open to all researchers.
The Workshop will not have a registration fee, and a limited amount of travel
support will be available.

Note: The CSCC Workshop will follow the SIAM Parallel Processing
Conference which is also being held at the Norfolk Waterside Marriott
on March 22-24, 1993. For information on the SIAM conference, send
email to meetings@siam.org or call (215) 382-9800.

WORKSHOP GOALS & CONTENT

- To provide a forum for presenting applications that are being pursued on
the Intel Touchstone Delta,

- To promote exchange of information on techniques and software for
massively parallel computing, with emphasis on those that have worked well
on the Delta.

The program will feature:

- Delta applications that have produced important new scientific results,

- Programming tools and methods,

- Software clinic: an opportunity to get advice on programming techniques and
debugging help from experts from Intel SSD and Concurrent Supercomputing
Consortium sites,

- Presentations of work in progress will also be included.

ATTENDANCE

The workshop will be open to the general research community, including
members of the Concurrent Supercomputing Consortium.

*This is a sampling of talks to be presented at the workshop. These talks
are confirmed as of early February. Between now and the workshop, we
expect to add more talks to the workshop program to include late-breaking
Delta results.

CALL FOR PAPERS

If you would like to present results you have obtained on the Delta, or
would like to give a talk related to your experiences in using the Delta,
please contact Paul Messina at Caltech (818-356-3907), email:
messina@ccsf.caltech.edu. Provide a title and brief abstract and indicate
how much time you need to present the work. Indicate if you would like a time
slot of 15 or 30 minutes. Talks can be informal. Presentations will be
accepted at the last minute, to allow the newest scientific results obtained
on the Delta to be reported.

An informal proceedings, containing the slides presented by each workshop
speaker, will be prepared following the workshop and sent to the
participants.

WHO IS THE CSCC?
Most of the workshop speakers are actively involved in high-performance
computing at one of the institutions participating in the Concurrent
Supercomputing Consortium. The consortium, which acquired the Intel Delta
as their first major computational resource, was formed in November 1990 by
a group of individuals interested in making progress in massively parallel
supercomputing. The consortium members are:

Wednesday 28th April 1993
At the Royal Society of Edinburgh,
Edinburgh, Scotland

There is a range of new mathematical techniques which are potentially
capable of solving many complicated problems in petroleum science whose
solution has proved intractable by traditional means. Neural network
techniques provide a way of unravelling correlations in complex systems
with applications, for example, to rock recognition in subsurface
reservoir mapping. Applications of cellular automata include modelling
the flow and hydrodynamical properties of complex fluids such as
structured polymer-containing fluids and cement slurries, simple fluids
in random media, such as the porous rock encountered in oil reservoirs
and lubricating fluids. The workshop will consider both fundamental
aspects of these novel methods and examples of petroleum science based
applications.

The meeting is being organised by the International Centre for
Mathematical Sciences in collaboration with the Petroleum Science and
Technology Institute.

To minimize expenses, the main mail server at our university is changing.
My email correspondents should still be able to reach me at: rbk@usl.edu,
just as before. However the area for anonymous FTP is now accessed
differently. BEFORE, anonymous FTP was accessed by:

ftp usl.edu

NOW, anonymous FTP will be accessed by:

ftp ucs.usl.edu

The directory structure of interest to my colleagues should be as before.
In particular, I remind you that a bibliography of works on interval
computations by researchers in the former Soviet Union, along with ordering
information, is found in the directory:

pub/interval_math

Information on the conference on Numerical Analysis with Automatic
Result Verification (Feb. 25 to Mar. 1, 1993) is found in:

pub/interval_math/conference

The latter directory will continue to carry information, such as
instructions for submitting to and ordering the proceedings, after
the conference.

We are looking for a Director for our new Institute for Computational
Sciences and Informatics. The attached announcement describes the position
and the expectations of the Institute. I have recently received funding
for an Intel Paragon/S (56 nodes). We have 18 SG machines and 15 NeXT
plus a lot of other miscellaneous UNIX hardware. The Institute is home
for a Ph.D. Program in Computational Sciences. I'd be happy to respond
to direct enquiries about the details of the program (provided they're not
too overwhelming in number). Thanks.

George Mason University
CSI/INSTITUTE FOR COMPUTATIONAL SCIENCES
AND INFORMATICS

DIRECTOR

The George Mason University of the Commonwealth of Virginia is seeking
candidates for the position of Director of the Institute for Computational
Sciences and Informatics (CSI). The Director, who reports to the Provost,
is responsible for leadership of the Institute and fulfillment of its research,
educational and outreach mission. The Institute's mission includes the
development of new approaches to scientific research based on rapidly
developing computational methodology across a broad range of disciplines
such as computational physics, mathematics and statistics, space sciences,
environmental sciences, global change, the interface of computation and
biological science, including bioinformatics, and others. Research in the
Institute is organized both through multi-disciplinary teams and through
disciplinary centers in some of the fields. The Institute is developing
and implementing a new Ph.D. program in Computational Science with current
enrollment of 68 students and with an anticipated steady enrollment of 150
students. Institute's current computational facilities include a network of
workstations, and servers, with the possible addition of a highly parallel
machine. A significant emphasis in the Institute's mission is given to the
interaction with local high-technology industry and government laboratories
in the Washington Metropolitan area.

The successful candidate should be a recognized researcher in a field with
a significant computational component, with a strong record of individual
research and scholarship. The candidate should have demonstrated the ability
to provide leadership and management of research teams, and should have
experience with a variety of research funding sources. The ability to foster
interactions with high technology industry and laboratories, and the ability
to provide leadership to an interdisciplinary doctoral program will be
essential.

Those wishing to be considered for the position or wanting to nominate a
candidate should write to:

Applications should include a letter, a curriculum vitae, and the names of at
least three references. Review of the applications will begin on February 1,
1993, and the position is expected to be available July 1, 1993. Women and
minorities are encouraged to apply.

George Mason University, a State University of the Commonwealth of Virginia, is
an affirmative action/equal opportunity employer.

The Science and Engineering Research Council will fund a three
year Research Assistantship for a project entitled
``The Dynamics of Time-Stepping in the
Numerical Analysis of Differential Equations''

The researcher will join a very active Numerical Analysis group at the
University of Dundee and will work closely with grantholders
Dr. D.J. Higham and Dr. D.F. Griffiths.
The main aim of the project is to investigate the long-term behaviour of
numerical methods on nonlinear, functional ODEs and semi-discretised PDEs.

The appointment is to be made at the RA 1A level, with a current
starting salary of 12,638 pounds sterling per annum.

The start date is no more than six months after 1st April 1993.
Applicants should hold, or expect to complete before the start date,
a PhD, and should have a strong background in numerical analysis
and differential equations.

Applications and requests for further information should be directed to